The sum of the largest and twice the smallest of three consecutive integers is -34. Find the integers. Show all WORK!

Call the consecutive numbers n, n+1 and n+2. Twice the greatest is 2n+4; three times the least is 3n. Therefore your equation is 2n+4+3n = 34, ie 5n+4 = 34. Therefore n=6 and the numbers are 6, 7 and 8.

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